Search a number
-
+
164414504112 = 2435501622669
BaseRepresentation
bin1001100100011111011…
…1100011110010110000
3120201101022220012012020
42121013313203302300
510143210103112422
6203310405231440
714610226140405
oct2310767436260
9521338805166
10164414504112
1163800779471
1227a46102580
1312672a0a631
147d59d262ac
1544242dd95c
hex2647de3cb0

164414504112 has 40 divisors (see below), whose sum is σ = 424815362160. Its totient is φ = 54794784000.

The previous prime is 164414504099. The next prime is 164414504129. The reversal of 164414504112 is 211405414461.

It is a happy number.

It is a super-3 number, since 3×1644145041123 (a number of 35 digits) contains 333 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 47287 + ... + 575382.

It is an arithmetic number, because the mean of its divisors is an integer number (10620384054).

Almost surely, 2164414504112 is an apocalyptic number.

164414504112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

164414504112 is an abundant number, since it is smaller than the sum of its proper divisors (260400858048).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

164414504112 is a wasteful number, since it uses less digits than its factorization.

164414504112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 628181 (or 628175 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 33.

Adding to 164414504112 its reverse (211405414461), we get a palindrome (375819918573).

The spelling of 164414504112 in words is "one hundred sixty-four billion, four hundred fourteen million, five hundred four thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 24 48 5501 11002 16503 22004 33006 44008 66012 88016 132024 264048 622669 1245338 1868007 2490676 3736014 4981352 7472028 9962704 14944056 29888112 3425302169 6850604338 10275906507 13701208676 20551813014 27402417352 41103626028 54804834704 82207252056 164414504112